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Finding the Third Proportional to 132,981.75 and 284,640.75

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Solution

The third proportional to 132,981.75 and 284,640.75 is: 609,259.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,981.75 : 284,640.75 = 284,640.75 : x
  2. Step 2: Convert to fraction form
    132,981.75/284,640.75 = 284,640.75/x
  3. Step 3: Cross multiply
    132,981.75x = 284,640.75 × 284,640.75
  4. Step 4: Simplify right side
    132,981.75x = 81,020,356,560.56
  5. Step 5: Solve for x
    x = 81,020,356,560.56/132,981.75
  6. Step 6: Final answer
    x = 609,259.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.